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The bipolar choquet integrals based on ternary-element sets

Abbas J.

Journal of Artificial Intelligence and Soft Computing Research

2016

Vol. 6, No. 1

13--21

This paper first introduces a new approach for studying bi-capacities and the bipolar Choquet integrals based on ternary-element sets. In the second half of the paper, we extend our approach to bi-capacities on fuzzy sets. Then, we propose a model of bipolar Choquet integral with respect to bi-capacities on fuzzy sets, and we give some basic properties of this model.